{"cells":[{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import gym # Gym库\nimport numpy as np # Numpy库","execution_count":6,"outputs":[]},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"env = gym.make('FrozenLake-v0',is_slippery=False) # 生成冰湖挑战环境\n# env = gym.make('FrozenLake-v0',is_slippery=True) # 设定冰面会打滑（即智能体不会总是成功走到所希望移动的方向）\nenv.reset() # 初始化冰湖挑战环境\nprint(\"状态数： \", env.observation_space.n)\nprint(\"动作数： \", env.action_space.n)\nfor _ in range(20): # 随机走20步\n    env.render()\n    env.step(env.action_space.sample()) # take a random action\nenv.close() # 关闭冰湖挑战环境","execution_count":7,"outputs":[{"output_type":"stream","text":"状态数：  16\n动作数：  4\n\n\u001b[41mS\u001b[0mFFF\nFHFH\nFFFH\nHFFG\n  (Down)\nSFFF\n\u001b[41mF\u001b[0mHFH\nFFFH\nHFFG\n  (Up)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Right)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Right)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Right)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Left)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Up)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Left)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Right)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Down)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Left)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Left)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n  (Left)\nSFFF\nF\u001b[41mH\u001b[0mFH\nFFFH\nHFFG\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"# 初始化Q表\nQ = np.zeros([env.observation_space.n,env.action_space.n])\nprint(Q)","execution_count":8,"outputs":[{"output_type":"stream","text":"[[0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]\n [0. 0. 0. 0.]]\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"# 初始化参数\nalpha = .6 # 学习速率\ngamma = .75 # 奖励折扣\nepisodes = 500 # 游戏盘数\njList = [] # 每盘步数\nrList = [] # 奖励值List\nfor i in range(episodes):\n    s = env.reset() # 重置环境\n    rAll = 0\n    d = False\n    j = 0\n    #Q-Learning算法实现\n    while j < 99:\n        j+=1\n        # 通过Q-Table贪心的选择下一个动作，但是增加随机噪声，该噪声随着盘数的增加而减小\n        a = np.argmax(Q[s,:] + np.random.randn(1,env.action_space.n)*(1./(i+1)))\n        # 智能体执行动作，并从环境中得到新的状态和奖励\n        s1,r,d,_ = env.step(a) \n#         env.render() # 更新环境\n        # 通过贪心算法更新Q-Table，选择新状态中的最大值\n        Q[s,a] = Q[s,a] + alpha*(r + gamma*np.max(Q[s1,:]) - Q[s,a])\n        rAll += r\n        s = s1\n        if d == True:\n            break\n    jList.append(j)        \n    rList.append(rAll)    \nprint(Q)    ","execution_count":9,"outputs":[{"output_type":"stream","text":"[[2.05300079e-03 1.73588080e-03 1.83951070e-03 1.81912894e-03]\n [6.72101213e-04 6.11141265e-04 6.58739767e-04 2.15197457e-03]\n [3.33012304e-03 3.06665712e-03 3.46744942e-03 2.59997286e-03]\n [2.64640566e-04 3.38647702e-03 8.04781487e-04 3.40624086e-03]\n [3.50729758e-03 1.37589748e-03 1.05008201e-02 2.10935122e-03]\n [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n [3.18204775e-03 5.82149586e-04 7.09889991e-04 1.43430799e-03]\n [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n [1.94379855e-03 5.87433976e-03 6.84742963e-03 3.75458038e-03]\n [1.43164373e-03 1.62402632e-01 0.00000000e+00 1.62922802e-03]\n [0.00000000e+00 7.17971628e-02 1.15728024e-03 2.04191210e-03]\n [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n [0.00000000e+00 0.00000000e+00 4.27208007e-01 0.00000000e+00]\n [0.00000000e+00 0.00000000e+00 7.12805617e-01 0.00000000e+00]\n [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"import matplotlib.pyplot as plt\nprint (\"Score over time:\"  +  str(sum(rList)/episodes))\nplt.figure(figsize=(16,5))\nplt.subplot(1,2,1)\nplt.plot(rList)\nplt.subplot(1,2,2)\nplt.plot(jList)","execution_count":10,"outputs":[{"output_type":"stream","text":"Score over time:0.068\n","name":"stdout"},{"output_type":"execute_result","execution_count":10,"data":{"text/plain":"[<matplotlib.lines.Line2D at 0x7f84372e12e8>]"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 1152x360 with 2 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\n"},"metadata":{"needs_background":"light"}}]}],"metadata":{"kernelspec":{"display_name":"Python 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